Some aspects of synthesis of probabilistic fuzzy controllers
type: Item
instance of: scholarly article
title: Some aspects of synthesis of probabilistic fuzzy controllers
zbMATH Open document ID: 0551.93002
DOI: 10.1016/0165-0114(84)90016-2
author: E. Czogała
author: Hans-Jürgen Zimmermann
published in: Fuzzy Sets and Systems
publication date: 1984-01-01T00:00:00Z
review text: Described is an approach to synthesis of probabilistic fuzzy controllers. They are thought as control algorithms based on a finite number of statements (implications) of the form ''if \(A_ i\) and \(B_ k\) then \(C_{ik}''\), \(i=1,2,...,N\), \(k=1,2,...,M\). \(A_ i\), \(B_ k\), \(C_{ik}\) are viewed as probabilistic sets as introduced by \textit{K. Hirota} [ibid. 5, 31-36 (1981; Zbl 0442.60008)] and expressed by their distribution functions. For any input of the controller its output is calculated by means of sup-min composition. Compact formulas for the output are obtained by the use of the so-called intersection coefficient. Moreover, an idea of decomposition of multi-dimensional controllers is studied.
Mathematics Subject Classification ID: 93A10
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 94D05
Mathematics Subject Classification ID: 93B50
zbMATH DE Number: 3878748
zbMATH Keywords: probabilistic fuzzy controllers
zbMATH Keywords: probabilistic sets
zbMATH Keywords: sup-min composition
zbMATH Keywords: decomposition
MaRDI profile type: Publication
full work available at URL: 0165-0114(84)90016-2
OpenAlex ID: W1982874788
cites work: On distribution function description of probabilistic sets and its application in decision making
cites work: A generalized concept of a fuzzy probabilistic controller
cites work: On the concept of fuzzy probabilistic controllers
cites work: Q3222098
cites work: Concepts of probabilistic sets
cites work: Fuzzy sets
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description: scientific article; zbMATH DE number 3878748